Coefficient inequalities for $q$-starlike functions associated with the Janowski functions

H. M. SRIVASTAVA; Bilal KHAN; Nazar KHAN; Qazi Zahoor AHMAD

doi:10.14492/hokmj/1562810517

Abstract

The main purpose of this investigation is to find several coefficient inequalities and a sufficient condition for $q$-starlike functions which are associated with the Janowski functions. Relevant connections of the results presented in this paper with those in a number of other related works on this subject are also pointed out.

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H. M. SRIVASTAVA. Bilal KHAN. Nazar KHAN. Qazi Zahoor AHMAD. "Coefficient inequalities for $q$-starlike functions associated with the Janowski functions." Hokkaido Math. J. 48 (2) 407 - 425, June 2019. https://doi.org/10.14492/hokmj/1562810517

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Published: June 2019

First available in Project Euclid: 11 July 2019

zbMATH: 07080102

MathSciNet: MR3980950

Digital Object Identifier: 10.14492/hokmj/1562810517

Subjects:

Primary: 05A30 , 30C45

Secondary: 11B65 , 47B38

Keywords: $q$-derivative operator , analytic functions , Basic (or $q$-) hypergeometric functions , Convex and $q$-convex functions , Starlike and $q$-starlike functions , univalent functions

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